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Finding the Fourth Proportional to 1,413.07, 2,118.94 and 535.74

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Solution

The fourth proportional to 1,413.07, 2,118.94 and 535.74 is: 803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.07 : 2,118.94 = 535.74 : x
  2. Step 2: Convert to fraction form
    1,413.07/2,118.94 = 535.74/x
  3. Step 3: Cross multiply
    1,413.07x = 2,118.94 × 535.74
  4. Step 4: Simplify right side
    1,413.07x = 1,135,200.92
  5. Step 5: Solve for x
    x = 1,135,200.92/1,413.07
  6. Step 6: Final answer
    x = 803.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.